Antoine goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays per pair of shoes. His total spending can be modeled by the equation 35x+55y

. Which of the statements correctly interprets a part of the expression?

Statement #1: Antoine spends $35.00 per pair of shoes.

Statement #2: Antoine spends $55.00 per pair of shoes.

Statement #3: Antoine spends $35.00 in total for shoes.

1 answer

None of the statements correctly interpret a part of the expression.

The expression 35x + 55y represents Antoine's total spending, where x represents the number of pairs of shoes he buys and y represents the number of jerseys he buys.

Statement #1: This statement incorrectly states that Antoine spends $35.00 per pair of shoes. The expression 35x actually represents the amount Antoine spends on shoes, not the price per pair.

Statement #2: This statement incorrectly states that Antoine spends $55.00 per pair of shoes. The expression 35x + 55y represents Antoine's total spending, including both shoes and jerseys. It does not represent the price per pair of shoes.

Statement #3: This statement incorrectly states that Antoine spends $35.00 in total for shoes. The expression 35x represents the amount Antoine spends on shoes, but the total spending also includes the amount spent on jerseys which is represented by 55y.